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Finding the Fourth Proportional to 617.77, 852.51 and 337.98

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Solution

The fourth proportional to 617.77, 852.51 and 337.98 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 852.51 = 337.98 : x
  2. Step 2: Convert to fraction form
    617.77/852.51 = 337.98/x
  3. Step 3: Cross multiply
    617.77x = 852.51 × 337.98
  4. Step 4: Simplify right side
    617.77x = 288,131.33
  5. Step 5: Solve for x
    x = 288,131.33/617.77
  6. Step 6: Final answer
    x = 466.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.